- #1
ThirdEyeBlind
- 12
- 0
Homework Statement
Sketch a graph of the polar curve whose points satisfy the following:
As theta increases from 0 to pi/2, r decreases from 4 to 2.
As theta increases from pi/2 to pi, r decreases from 2 to 0.
As theta increases from pi to 3pi/2, r decreases from 0 to -1.
As theta increases from 3pi/2 to 2pi, r decreases from -1 to -3.
Homework Equations
The Attempt at a Solution
First, I converted the points from polar to cartesian and got the following:
(r, theta) -> (x,y)
(4, 0) -> (4, 0)
(2, pi/2) -> (0, 2)
(0, pi) -> (0, 0)
(-1, 3pi/2) ->(0, 1)
(-3, 2pi) -> (-3, 0)Then, I graphed the points in order and got:
I think this is right, I am just looking for someone to look over my work as I have to turn this in.
ThanksEdit: Whoops, I meant to post this in the Calculus & Beyond forum. If someone could move it there, I would appreciate it.
Last edited: